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Finding the Third Proportional to 316,422 and 702,831

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Solution

The third proportional to 316,422 and 702,831 is: 1,561,115.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,422 : 702,831 = 702,831 : x
  2. Step 2: Convert to fraction form
    316,422/702,831 = 702,831/x
  3. Step 3: Cross multiply
    316,422x = 702,831 × 702,831
  4. Step 4: Simplify right side
    316,422x = 493,971,414,561
  5. Step 5: Solve for x
    x = 493,971,414,561/316,422
  6. Step 6: Final answer
    x = 1,561,115.90

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.